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derivative-approximation

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Scientific Research Publishing

Zhao, X., Sun, Z. and Karniadakis, G.E. (2015) Second-Order Approximations for Variable Order Fractional Derivatives: Algorithms and Applications. Journal of Computational ...

ABSTRACT: Fractional-order time-delay differential equations can describe many complex physical phenomena with memory or delay effects, which are widely used in the fields of cell biology, control ...
IEEE

Control of Uncertain High-Order Fully Actuated Strict-Feedback Systems: A Backstepping Approach With High-Gain Observer-Based Derivative Approximation

Abstract: In this article, a high-gain observer (HGO)-based differentiator is proposed to approximate the derivatives of the virtual control to ease the “explosion of complexity” problem in ...
Oak Ridge National Lab

Nonuniform random feature models using derivative information

Neural networks are often treated as a "black box," and their interpretation and construction is based on empirical evidence. However, for scientific applications, accurate and stable approximation of ...
Scientific Research Publishing

A Hybrid ESA-CCD Method for Variable-Order Time-Fractional Diffusion Equations ()

1 College of Mathematics and Information Science, Nanchang Hangkong University, Nanchang, China. 2 School of Statistics and Data Science, Jiangxi University of Finance and Economics, Nanchang, China.
INSPIRE

Casimir Physics beyond the Proximity Force Approximation: The Derivative Expansion

We review the derivative expansion (DE) method in Casimir physics, an approach which extends the proximity force approximation (PFA). After introducing and motivating the DE in contexts other than the ...